So you're using Lemmix for the remake?
I've remade three of my cheapo levels(with some changes, ranging from very little beyond cosmetic appearance in the first, to a mostly new solution but almost identical layout in the third), but I don't know how well they'll work in Lemmix.
Here is the download. They are all in LVL format, and I've also included BMP images of the levels:
http://www.megaupload.com/?d=LTDI3LCY***WARNING: SPOILERS FOR SOLUTIONS MAY FOLLOW FOR FOLLOWING THREE LEVELS***Lemmings Plus 1: Return of the T
Ultimate Challenge 2: Death in all Directions
Lemmings Plus 3: To The End!
The first one should be easily adaptable - depending on bridge-from-dig mechanics and bridge physics, a small piece near the end may need to be moved to keep it possible. It is possible as is in the Windows version, haven't tried DOS. As the design is slightly different to the Cheapo version, this comparison is not entirely useful, but it is possible in Cheapo version.
The second one cannot be beaten in the Windows version due to how interactions between multiple diggers are handled. This problem does not occur in Cheapo, and the trick required can be successfully pulled off. (It is not a cheap trick, just one that may be inobvious at first. Apart from the two points where this trick is needed, the rest of the level works fine.
The third one is very differently solved than the cheapo original, so I cannot compare to that. However, this one does require a direct build-from-climb (at the most, one or two pixels later will still work), and it is very tight on the time limit(in the Windows version, I cannot finish with more than one second remaining), so if the timing of everything isn't perfectly in sync with the Windows version, then this level will either become slightly(or majorly, depending on how out of sync it is) easier, or the time limit may need to be increased to 3 minutes, which certianly will kill a lot (but not all) of the difficulty. I also changed the name of this level as it is too different from the original to keep the same name.
***END SPOILERS HERE***